Physics exam 2 review

B.dl=uoIenc

Amperes law

e=-d(fi/dt)

Faradays law enduced EMF= the derivative of magnetic flux with respect to time

F=qvxB

Force on a charged particle moving through a magnetic field

F=IlxB

Force on a current carrying wire in a magnetic field

E.dA=Qenc/eo

Gauss's law

e=vLB

Induced EMF in a conductive rod moving through the magnetic field

e2=-L(di/dt)

L is the inductance

B=uoNI/2a

Magnetic field in the center of a single loop of wire

Bx=u0Ia^2/2(x^2+a^2)^3/2

Magnetic field of a loop of wire(A is radius and x is distance the center of the loop)

fi(b)=B*A*cosfi

Magnetic flux

B.dA=0

Magnetic flux through a closed surface has to be zero

U=-u.B

Potential energy of a loop of wire in a magnetic field

L=N(fiB/I)

Self inductance of an inductor

E.dl=-d(fi)/dt

alternate form of faradays law and describes the electric field created by a changing magnetic flux

w=v/r=qB/m

angular frequency of a charged particle revolving in a magnetic field

a=v^2/r

centripital acceleration

B.dl=uo(ic+eo*dfiE/dt)

changing electric flux will create a magnetic field

t=uxB

cross product of a magnetic dipole moment with a external magnetic field for a loop of wire

M=N2(fib2/I1)

equation of mutual inductance

e2=-M(di/dt)

induced EMF created by mutual inductance in 2 mutually inducting coils

|u|=IA

magnetic dipole moment of a loop of current carrying wire

B=u0qvxr/4pir^2

magnetic field created by moving charge

dB=uoIdlxr/4pir^2

magnetic field of a current carrying wire(Biot Savart Law)

B=uonI

magnetic field of a solenoid

B=uoI/2pir

magnetic field of a straight current carrying wire( Wire cannot be bent)